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gwhitney merged 6 commits into from
Nov 6, 2026
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docs: show the physical constant values that math.js uses #3740

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c7d99e9
docs: show the physical constant values that math.js uses
YashG1836 Oct 30, 2026
219ae28
Merge remote-tracking branch 'upstream/develop' into docs-physical-co…
YashG1836 Nov 2, 2026
f339b64
test: check the table of physical constants in the docs against the code
YashG1836 Nov 3, 2026
c4c3942
Merge remote-tracking branch 'upstream/develop' into docs-physical-co…
YashG1836 Nov 5, 2026
452314b
test: move the docs constants check to the node tests
YashG1836 Nov 5, 2026
0a2457b
chore: update AUTHORS and HISTORY
gwhitney Nov 6, 2026
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4 changes: 2 additions & 2 deletions AUTHORS
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Expand Up @@ -287,16 +287,16 @@ Dheemanth D <165369664+Dheemanth07@users.noreply.github.com>
Adriano Fantini <adrfantini@users.noreply.github.com>
Chibuike Anselm <chibuikeanselm@Chibuikes-MacBook-Pro.local>
Jos de Jong <email@josdejong.com>
JSap0914 <JSap0914@users.noreply.github.com>
rrbharath <ryanrbharath@gmail.com>
Lê Vạn Bảo Trọng <32262183+chuanghiduoc@users.noreply.github.com>
Yash Goyal <yashgoyal17305@gmail.com>
Hugohong258 <ugfifkgfufyu@gmail.com>
Spoko Dev <spoko.dev@gmail.com>
Yash Goyal <24110399@iitgn.ac.in>
Wei-Lun Li <b84330808@gmail.com>
wulimammoth <ctelestial@gmail.com>
kevin <5299031+kevin9327@users.noreply.github.com>
WenJing95 <126436871+WenJing95@users.noreply.github.com>
W <184799977+waw666waw666@users.noreply.github.com>
JSap0914 <JSap0914@users.noreply.github.com>

# Generated by tools/update-authors.js
3 changes: 3 additions & 0 deletions HISTORY.md
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Expand Up @@ -2,6 +2,9 @@

# unpublished changes since 15.2.0

- Docs: update values of physical constants in units doc page, and
institute a check that they match the values in the math instance (#3740).
Thanks @YashG1836.
- Feat: support bigint in stirlingS2(n,k) and ensure that result is
always of correct type (#3663). Thanks @JSap0914 and @gwhitney.
- Docs: #3401 add pages for String and Boolean types, clarify that concat
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90 changes: 45 additions & 45 deletions docs/datatypes/units.md
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Expand Up @@ -414,26 +414,26 @@ Math.js includes the following physical constants. See [Wikipedia](https://en.wi
Name | Symbol | Value | Unit
----------------------|--------------------------------------------------------|-------------------|-------------------------------------------------------
speedOfLight | <i>c</i> | 299792458 | m &#183; s<sup>-1</sup>
gravitationConstant | <i>G</i> | 6.6738480e-11 | m<sup>3</sup> &#183; kg<sup>-1</sup> &#183; s<sup>-2</sup>
planckConstant | <i>h</i> | 6.626069311e-34 | J &#183; s
reducedPlanckConstant | <i><span style="text-decoration:overline">h</span></i> | 1.05457172647e-34 | J &#183; s
gravitationConstant | <i>G</i> | 6.67430e-11 | m<sup>3</sup> &#183; kg<sup>-1</sup> &#183; s<sup>-2</sup>
planckConstant | <i>h</i> | 6.62607015e-34 | J &#183; s
reducedPlanckConstant | <i><span style="text-decoration:overline">h</span></i> | 1.0545718176461565e-34 | J &#183; s


#### Electromagnetic constants

Name | Symbol | Value | Unit
--------------------------|--------------------------------------------------|-----------------------|----------------------------------------
magneticConstant | <i>&mu;<sub>0</sub></i> | 1.2566370614e-6 | N &#183; A<sup>-2</sup>
electricConstant | <i>&epsilon;<sub>0</sub></i> | 8.854187817e-12 | F &#183; m<sup>-1</sup>
vacuumImpedance | <i>Z<sub>0</sub></i> | 376.730313461 | &ohm;
coulomb | <i>&kappa;</i> | 8.9875517873681764e9 | N &#183; m<sup>2</sup> &#183; C<sup>-2</sup>
elementaryCharge | <i>e</i> | 1.60217656535e-19 | C
bohrMagneton | <i>&mu;<sub>B</sub></i> | 9.2740096820e-24 | J &#183; T<sup>-1</sup>
conductanceQuantum | <i>G<sub>0</sub></i> | 7.748091734625e-5 | S
inverseConductanceQuantum | <i>G<sub>0</sub><sup>-1</sup></i> | 12906.403721742 | &ohm;
magneticFluxQuantum | <i><font face="Symbol">f</font><sub>0</sub></i> | 2.06783375846e-15 | Wb
nuclearMagneton | <i>&mu;<sub>N</sub></i> | 5.0507835311e-27 | J &#183; T<sup>-1</sup>
klitzing | <i>R<sub>K</sub></i> | 25812.807443484 | &ohm;
magneticConstant | <i>&mu;<sub>0</sub></i> | 1.25663706212e-6 | N &#183; A<sup>-2</sup>
electricConstant | <i>&epsilon;<sub>0</sub></i> | 8.8541878128e-12 | F &#183; m<sup>-1</sup>
vacuumImpedance | <i>Z<sub>0</sub></i> | 376.730313667 | &ohm;
coulomb | <i>&kappa;</i> | 8.987551792261171e9 | N &#183; m<sup>2</sup> &#183; C<sup>-2</sup>
elementaryCharge | <i>e</i> | 1.602176634e-19 | C
bohrMagneton | <i>&mu;<sub>B</sub></i> | 9.2740100783e-24 | J &#183; T<sup>-1</sup>
conductanceQuantum | <i>G<sub>0</sub></i> | 7.748091729863649e-5 | S
inverseConductanceQuantum | <i>G<sub>0</sub><sup>-1</sup></i> | 12906.403729652257 | &ohm;
magneticFluxQuantum | <i><font face="Symbol">f</font><sub>0</sub></i> | 2.0678338484619295e-15 | Wb
nuclearMagneton | <i>&mu;<sub>N</sub></i> | 5.0507837461e-27 | J &#183; T<sup>-1</sup>
klitzing | <i>R<sub>K</sub></i> | 25812.807459304513 | &ohm;

<!-- TODO: implement josephson
josephson | <i>K<sub>J</sub></i> | 4.8359787011e-14 | Hz &#183; V<sup>-1</sup>
Expand All @@ -444,39 +444,39 @@ josephson | <i>K<sub>J</sub></i> | 4

Name | Symbol | Value | Unit
------------------------|------------------------------|-----------------------|----------------------------------
bohrRadius | <i>a<sub>0</sub></i> | 5.291772109217e-11 | m
classicalElectronRadius | <i>r<sub>e</sub></i> | 2.817940326727e-15 | m
electronMass | <i>m<sub>e</sub></i> | 9.1093829140e-31 | kg
fermiCoupling | <i>G<sub>F</sub></i> | 1.1663645e-5 | GeV<sup>-2</sup>
fineStructure | <i>&alpha;</i> | 7.297352569824e-3 | -
hartreeEnergy | <i>E<abbr>h</abbr> </i> | 4.3597443419e-18 | J
protonMass | <i>m<sub>p</sub></i> | 1.67262177774e-27 | kg
bohrRadius | <i>a<sub>0</sub></i> | 5.29177210903e-11 | m
classicalElectronRadius | <i>r<sub>e</sub></i> | 2.8179403262e-15 | m
electronMass | <i>m<sub>e</sub></i> | 9.1093837015e-31 | kg
fermiCoupling | <i>G<sub>F</sub></i> | 1.1663787e-5 | GeV<sup>-2</sup>
fineStructure | <i>&alpha;</i> | 7.2973525693e-3 | -
hartreeEnergy | <i>E<abbr>h</abbr> </i> | 4.3597447222071e-18 | J
protonMass | <i>m<sub>p</sub></i> | 1.67262192369e-27 | kg
deuteronMass | <i>m<sub>d</sub></i> | 3.3435830926e-27 | kg
neutronMass | <i>m<sub>n</sub></i> | 1.6749271613e-27 | kg
quantumOfCirculation | <i>h / (2m<sub>e</sub>)</i> | 3.636947552024e-4 | m<sup>2</sup> &#183; s<sup>-1</sup>
rydberg | <i>R<sub>&infin;</sub></i> | 10973731.56853955 | m<sup>-1</sup>
thomsonCrossSection | | 6.65245873413e-29 | m<sup>2</sup>
weakMixingAngle | | 0.222321 | -
quantumOfCirculation | <i>h / (2m<sub>e</sub>)</i> | 3.6369475516e-4 | m<sup>2</sup> &#183; s<sup>-1</sup>
rydberg | <i>R<sub>&infin;</sub></i> | 10973731.568160 | m<sup>-1</sup>
thomsonCrossSection | | 6.6524587321e-29 | m<sup>2</sup>
weakMixingAngle | | 0.22290 | -
efimovFactor | | 22.7 | -


#### Physico-chemical constants

Name | Symbol | Value | Unit
--------------------|------------------------------|---------------------|--------------------------------------------
atomicMass | <i>m<sub>u</sub></i> | 1.66053892173e-27 | kg
avogadro | <i>N<sub>A</sub></i> | 6.0221412927e23 | mol<sup>-1</sup>
boltzmann | <i>k</i> | 1.380648813e-23 | J &#183; K<sup>-1</sup>
faraday | <i>F</i> | 96485.336521 | C &#183; mol<sup>-1</sup>
firstRadiation | <i>c<sub>1</sub></i> | 3.7417715317e-16 | W &#183; m<sup>2</sup>
loschmidt | <i>n<sub>0</sub></i> | 2.686780524e25 | m<sup>-3</sup>
gasConstant | <i>R</i> | 8.314462175 | J &#183; K<sup>-1</sup> &#183; mol<sup>-1</sup>
molarPlanckConstant | <i>N<sub>A</sub> &#183; h</i>| 3.990312717628e-10| J &#183; s &#183; mol<sup>-1</sup>
molarVolume | <i>V<sub>m</sub></i> | 2.241396820e-10 | m<sup>3</sup> &#183; mol<sup>-1</sup>
sackurTetrode | | -1.164870823 | -
secondRadiation | <i>c<sub>2</sub></i> | 1.438777013e-2 | m &#183; K
stefanBoltzmann | <i>&sigma;</i> | 5.67037321e-8 | W &#183; m<sup>-2</sup> &#183; K<sup>-4</sup>
wienDisplacement | <i>b</i> | 2.897772126e-3 | m &#183; K
atomicMass | <i>m<sub>u</sub></i> | 1.66053906660e-27 | kg
avogadro | <i>N<sub>A</sub></i> | 6.02214076e23 | mol<sup>-1</sup>
boltzmann | <i>k</i> | 1.380649e-23 | J &#183; K<sup>-1</sup>
faraday | <i>F</i> | 96485.33212331001 | C &#183; mol<sup>-1</sup>
firstRadiation | <i>c<sub>1</sub></i> | 3.7417718521927573e-16 | W &#183; m<sup>2</sup>
loschmidt | <i>n<sub>0</sub></i> | 2.686780111798444e25 | m<sup>-3</sup>
gasConstant | <i>R</i> | 8.31446261815324 | J &#183; K<sup>-1</sup> &#183; mol<sup>-1</sup>
molarPlanckConstant | <i>N<sub>A</sub> &#183; h</i>| 3.990312712893431e-10| J &#183; s &#183; mol<sup>-1</sup>
molarVolume | <i>V<sub>m</sub></i> | 0.022413969545014137 | m<sup>3</sup> &#183; mol<sup>-1</sup>
sackurTetrode | | -1.16487052358 | -
secondRadiation | <i>c<sub>2</sub></i> | 0.014387768775039337 | m &#183; K
stefanBoltzmann | <i>&sigma;</i> | 5.67037441918443e-8 | W &#183; m<sup>-2</sup> &#183; K<sup>-4</sup>
wienDisplacement | <i>b</i> | 2.897771955e-3 | m &#183; K

<!-- TODO: implement spectralRadiance
spectralRadiance | <i>c<sub>1L</sub></i> | 1.19104286953e-16 | W &#183; m<sup>2</sup> &#183; sr<sup>-1</sup>
Expand All @@ -490,8 +490,8 @@ The value of `sackurTetrode` is at `T = 1 K` and `p = 101.325 kPa`.

Name | Symbol | Value | Unit
--------------|------------------------------|---------|-------------------------
molarMass | <i>M<sub>u</sub></i> | 1e-3 | kg &#183; mol<sup>-1</sup>
molarMassC12 | <i>M(<sub>12</sub>C)</i> | 1.2e-2 | kg &#183; mol<sup>-1</sup>
molarMass | <i>M<sub>u</sub></i> | 0.99999999965e-3 | kg &#183; mol<sup>-1</sup>
molarMassC12 | <i>M(<sub>12</sub>C)</i> | 11.9999999958e-3 | kg &#183; mol<sup>-1</sup>
gravity | <i>g<sub>n</sub></i> | 9.80665 | m &#183; s<sup>-2</sup>
atm | <i>atm</i> | 101325 | Pa

Expand All @@ -500,8 +500,8 @@ atm | <i>atm</i> | 101325 | Pa

Name | Symbol | Value | Unit
------------------|-----------------------|--------------------|-----
planckLength | <i>l<sub>P</sub></i> | 1.61619997e-35 | m
planckMass | <i>m<sub>P</sub></i> | 2.1765113e-8 | kg
planckTime | <i>t<sub>P</sub></i> | 5.3910632e-44 | s
planckCharge | <i>q<sub>P</sub></i> | 1.87554595641e-18 | C
planckTemperature | <i>T<sub>P</sub></i> | 1.41683385e+32 | K
planckLength | <i>l<sub>P</sub></i> | 1.616255e-35 | m
planckMass | <i>m<sub>P</sub></i> | 2.176435e-8 | kg
planckTime | <i>t<sub>P</sub></i> | 5.391245e-44 | s
planckCharge | <i>q<sub>P</sub></i> | 1.87554603778e-18 | C
planckTemperature | <i>T<sub>P</sub></i> | 1.416785e+32 | K
38 changes: 38 additions & 0 deletions test/node-tests/physicalConstantsDocs.test.js
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@@ -0,0 +1,38 @@
import assert from 'node:assert'
import fs from 'node:fs'
import path from 'node:path'
import { fileURLToPath } from 'node:url'
import { approxEqual } from '../../tools/approx.js'
import { create, all } from '../../lib/esm/index.js'

const __dirname = path.dirname(fileURLToPath(import.meta.url))
const math = create(all)

describe('table of physical constants in the docs', function () {
it('should match the values in the code', function () {
const section = fs.readFileSync(path.resolve(__dirname, '../../docs/datatypes/units.md'), 'utf8')
.split('### Physical Constants')[1]
.split(/\n#{2,3} /)[0]
.replace(/<!--[\s\S]*?-->/g, '') // skip the commented-out rows

const rows = section.split('\n')
.map(line => line.split('|').map(cell => cell.trim()))
.filter(cells => cells.length === 4 && cells[2] !== '' && !isNaN(Number(cells[2])))

assert(rows.length > 40, 'the table should be found')
for (const [name, , value] of rows) {
const constant = math[name]
let actual
if (typeof constant === 'number') {
actual = constant // dimensionless constants such as fineStructure
} else if (constant !== undefined) {
actual = constant.toNumber()
} else {
// adopted values such as atm are units, not constants
assert(math.Unit.isValuelessUnit(name), `${name} should be a physical constant or a unit`)
actual = math.unit(1, name).toSI().toNumber()
}
approxEqual(Number(value), actual, 1e-12)
}
})
})
8 changes: 8 additions & 0 deletions tools/update-authors.js
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Expand Up @@ -92,6 +92,14 @@ const replaceEmails = {
author: 'Hugohong258',
email: '<ugfifkgfufyu@gmail.com>'
},
'<24110399@iitgn.ac.in>': {
author: 'Yash Goyal',
email: '<yashgoyal17305@gmail.com>'
},
'<116227558+JSap0914@users.noreply.github.com>': {
author: 'JSap0914',
email: '<JSap0914@users.noreply.github.com>'
}
}

// Commits from which we do not want the author to pop up in the AUTHORS list,
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